C. [tex]81^{\frac{5}{4} }[/tex] is the correct one.
What is exponential form ?
The mathematical form in which we can able to write repeated multiplications in easy way with the help of base and exponents, is called exponential form.
Example : Exponential form of 4×4×4×4×4 is [tex]4^{5}[/tex].
What is the required exponential form ?
Given, [tex]\sqrt[4]{81^{5} }[/tex]
Simplifying, [tex]\sqrt[4]{81^{5} }[/tex] = [tex](81^{5}) ^{\frac{1}{4} }[/tex] = [tex]81^{\frac{5}{4} }[/tex]
The exponential form = [tex]81^{\frac{5}{4} }[/tex]
Learn more about exponential form here :
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